What is 10.16 percent of 86.89 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 86.89 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 86.89 is 100%, so we can write it down as 86.89=100%.
4. We know, that x is 10.16% of the output value, so we can write it down as x=10.16%.
5. Now we have two simple equations:
1) 86.89=100%
2) x=10.16%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
86.89/x=100%/10.16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 10.16% of 86.89

86.89/x=100/10.16
(86.89/x)*x=(100/10.16)*x       - we multiply both sides of the equation by x
86.89=9.8425196850394*x       - we divide both sides of the equation by (9.8425196850394) to get x
86.89/9.8425196850394=x
8.828024=x
x=8.828024

now we have:
10.16% of 86.89=8.828024